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Growth of Metric Spaces

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Generic Coarse Geometry of Leaves

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 2223))

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Abstract

In this chapter we review the concept of growth of metric spaces and those of its properties required for our main theorems.

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Notes

  1. 1.

    The usual definition of growth type uses functions Z + →R +, but functions R + →R + give rise to an equivalent concept.

  2. 2.

    This property is sometimes called subexponential.

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Álvarez López, J.A., Candel, A. (2018). Growth of Metric Spaces. In: Generic Coarse Geometry of Leaves. Lecture Notes in Mathematics, vol 2223. Springer, Cham. https://doi.org/10.1007/978-3-319-94132-5_4

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